413100341013313 has 32 divisors (see below), whose sum is σ = 438394565952000. Its totient is φ = 388177636331520.

The previous prime is 413100341013299. The next prime is 413100341013343. The reversal of 413100341013313 is 313310143001314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413100341013313 - 2¹⁷ = 413100340882241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413100341013343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145376378 + ... + 1145736988.

It is an arithmetic number, because the mean of its divisors is an integer number (13699830186000).

Almost surely, 2^{413100341013313} is an apocalyptic number.

It is an amenable number.

413100341013313 is a deficient number, since it is larger than the sum of its proper divisors (25294224938687).

413100341013313 is a wasteful number, since it uses less digits than its factorization.

413100341013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361885.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 413100341013313 its reverse (313310143001314), we get a palindrome (726410484014627).

The spelling of 413100341013313 in words is "four hundred thirteen trillion, one hundred billion, three hundred forty-one million, thirteen thousand, three hundred thirteen".